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Harmonic Function in Chromatic Music

Harmonic Function in Chromatic Music
Author: Daniel Harrison
Publisher: University of Chicago Press
Total Pages: 364
Release: 1994-05-28
Genre: Music
ISBN: 9780226318080

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Applicable on a wide scale not only to this repertory, Harrison's lucid explications of abstract theoretical concepts provide new insights into the workings of tonal systems in general.


Chromatic Polynomials and Chromaticity of Graphs

Chromatic Polynomials and Chromaticity of Graphs
Author: F. M. Dong
Publisher: World Scientific
Total Pages: 388
Release: 2005
Genre: Mathematics
ISBN: 9812563172

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"This is the first book to comprehensively cover chromatic polynomials of graphs. It includes most of the known results and unsolved problems in the area of chromatic polynomials. Dividing the book into three main parts, the authors take readers from the rudiments of chromatic polynomials to more complex topics: the chromatic equivalence classes of graphs and the zeros and inequalities of chromatic polynomials. The early material is well suited to a graduate level course while the latter parts will be an invaluable resource for postgraduate students and researchers in combinatorics and graph theory."--BOOK JACKET.


Chromatic Graph Theory

Chromatic Graph Theory
Author: Gary Chartrand
Publisher: CRC Press
Total Pages: 450
Release: 2019-11-28
Genre: Mathematics
ISBN: 042979827X

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With Chromatic Graph Theory, Second Edition, the authors present various fundamentals of graph theory that lie outside of graph colorings, including basic terminology and results, trees and connectivity, Eulerian and Hamiltonian graphs, matchings and factorizations, and graph embeddings. Readers will see that the authors accomplished the primary goal of this textbook, which is to introduce graph theory with a coloring theme and to look at graph colorings in various ways. The textbook also covers vertex colorings and bounds for the chromatic number, vertex colorings of graphs embedded on surfaces, and a variety of restricted vertex colorings. The authors also describe edge colorings, monochromatic and rainbow edge colorings, complete vertex colorings, several distinguishing vertex and edge colorings. Features of the Second Edition: The book can be used for a first course in graph theory as well as a graduate course The primary topic in the book is graph coloring The book begins with an introduction to graph theory so assumes no previous course The authors are the most widely-published team on graph theory Many new examples and exercises enhance the new edition


Advanced Chromatic Monitoring

Advanced Chromatic Monitoring
Author: Gordon R. Jones
Publisher: CRC Press
Total Pages: 174
Release: 2020-08-11
Genre: Technology & Engineering
ISBN: 1000094472

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Advanced Chromatic Monitoring provides a major source of information about the novel approach of chromaticity with examples of how chromaticity may be deployed for various monitoring applications. It shows with examples what can be achieved with chromatic methods in producing relevant information with a variety of test techniques and in facilitating the interpretation of complex data about complicated situations. It will be of interest to postgraduates and researchers in a wide breadth of physical disciplines (engineering, medicine, environmental sciences) and those involved with data acquisition and analysis. Key Features: Applicable to a wide range of disciplines (engineering, medical, environmental, etc) and those interested in science, technology, data acquisition and analysis Provides an extrapolation of new knowledge well beyond that covered in existing literature with regard to dealing with complicated forms and sets of data Addresses inspiring and innovative areas of research including environmental, power delivery and medical monitoring About the Editors: Emeritus Professor Gordon R. Jones – founder and former Director of the Centre for Intelligent Monitoring Systems (CIMS), former Head of the Department of Electrical Engineering and Electronics, and former Director of Electric Arcs Research Group at the University of Liverpool. He was awarded the IEEE Education, Science and Technology Achievement Medal (1999). Professor Joe W. Spencer – the present Director of CIMS at the University of Liverpool, having been Head of the Department of Electrical Engineering and Electronics at Liverpool. He is involved in operating a multi-million pound technology transfer unit (Sensor City, Liverpool) with whose establishment he played a major role and with which CIMS has major interactions.


The Chromatic Fourth During Four Centuries of Music

The Chromatic Fourth During Four Centuries of Music
Author: Peter Williams
Publisher: Oxford University Press
Total Pages: 278
Release: 1997
Genre: Language Arts & Disciplines
ISBN: 9780198165637

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The "Chromatic Fourth" is a musical pattern of six notes moving by step up or down the scale. In this essentially practical study Peter Williams draws on his extensive knowledge of the music of four centuries to investigate and analyze over 200 examples taken from composers ranging from Bach to Bart k, and from Schubert to Shostakovich.


Topics in Chromatic Graph Theory

Topics in Chromatic Graph Theory
Author: Lowell W. Beineke
Publisher: Cambridge University Press
Total Pages: 416
Release: 2015-05-07
Genre: Mathematics
ISBN: 1316239853

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Chromatic graph theory is a thriving area that uses various ideas of 'colouring' (of vertices, edges, and so on) to explore aspects of graph theory. It has links with other areas of mathematics, including topology, algebra and geometry, and is increasingly used in such areas as computer networks, where colouring algorithms form an important feature. While other books cover portions of the material, no other title has such a wide scope as this one, in which acknowledged international experts in the field provide a broad survey of the subject. All fifteen chapters have been carefully edited, with uniform notation and terminology applied throughout. Bjarne Toft (Odense, Denmark), widely recognized for his substantial contributions to the area, acted as academic consultant. The book serves as a valuable reference for researchers and graduate students in graph theory and combinatorics and as a useful introduction to the topic for mathematicians in related fields.


Basic Blues Chromatic for the Diatonic Player, Level 3

Basic Blues Chromatic for the Diatonic Player, Level 3
Author: DAVID BARRETT
Publisher: Mel Bay Publications
Total Pages: 44
Release: 2016-06-01
Genre: Music
ISBN: 1619116065

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This book and audio has instruction for: the brand new chromatic player; the experienced chromatic player who wants to learn blues; and for the diatonic blues harmonica player wanting to apply their skills to the chromatic. This book teaches the scales, phrasing, licks, articulation and same fantastic lines that all of the current and past blues chromatic greats have to offer. The recording includes detailed technique examples, songs, and full-band background tracks to playalong with. Includes access to online audio


Chromatic Monitoring of Complex Conditions

Chromatic Monitoring of Complex Conditions
Author: Gordon Rees Jones
Publisher: CRC Press
Total Pages: 314
Release: 2008-04-09
Genre: Science
ISBN: 1584889896

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Explaining the chromatic methodology for the intelligent monitoring of complex systems, Chromatic Monitoring of Complex Conditions demonstrates that chromatic processing is analogous to human vision yet also extends into a wide range of nonoptical domains. Taking a practical approach that utilizes many examples and graphs, the book presen


Progressive Chromatic Harmonica

Progressive Chromatic Harmonica
Author: Muzician.com
Publisher: LearnToPlayMusic.com
Total Pages: 66
Release: 2023-03-24
Genre: Music
ISBN: 9825327499

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For beginner chromatic harmonica players. Covers all aspects of Chromatic Harmonica playing, including Folk, Blues, Boogie Woogie, Rock & Roll, Country, Train songs, Jigs, Bluegrass, Religious & Classical selections.


Triadic Chromatic Approach

Triadic Chromatic Approach
Author: George Garzone
Publisher: Garlianus Musical Editions
Total Pages: 51
Release: 2020-04-03
Genre: Music
ISBN: 1952530024

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This book Chromatic Lines Over Standard Tune Chord Progressions is designed to free the improvisor from the normal sounds that he or she usually plays. All the compositions are based off on the Triadic Chromatic Approach concept, so you will get a clear example of the sound itself from the combination of the Triadic Chromatic Approach and the standard progressions. For all Bb, Eb, C and Bass instruments. You will find in this book compositions and exercises with chromatic lines.